Sτ

Relativistic Spacetime & Lorentz Transformation Visualizer

Special Relativity Geometry, Lightcones & Observer Frames
Rest Frame (ct, x) Moving Frame (ct', x') Light Cone (v = c) Worldline
Drag events or scrub velocity
Relative Velocity (v/c): 0.60c γ = 1.250
Presets:
Lorentz Factor (γ) 1.250 γ = 1 / √(1 - β²)
Proper Time Ratio 0.800 Δτ / Δt = 1 / γ
Speed of Light (c) 1.000 Invariant Limit
Selected Event s² 9.00 Timelike
Spacetime Events
Lorentz Boost Matrix & Metrics
ct' = γ · (ct - β · x)
x' = γ · (x - β · ct)
s² = (ct)² - x² = (ct')² - (x')²
Invariance of Spacetime Interval: As you drag velocity slider v/c, event coordinates transform, but interval s² remains strictly invariant in all inertial frames.
State: Synchronized (v=0.60c, γ=1.250)
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